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The mean of the marks obtained by 7 students in a group is 226. If the marks obtained by six of them are 340, 180, 260, 56, 275, 307, then the marks obtained by the seventh student are​
  • a)
    200
  • b)
    125
  • c)
    174
  • d)
    164
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The mean of the marks obtained by 7 students in a group is 226. If the...
Let's start by finding the sum of the marks obtained by the six students:

Sum of marks = 340 + 180 + 260 + 56 + 275 + 307 = 1418

We can then use the formula for the mean to find the total marks obtained by all seven students:

Mean = (Total marks) / (Number of students)

226 = (Total marks) / 7

Total marks = 1582

Finally, we can find the marks obtained by the seventh student by subtracting the sum of the marks obtained by the six students from the total marks obtained by all seven students:

Marks obtained by seventh student = Total marks - Sum of marks

Marks obtained by seventh student = 1582 - 1418

Marks obtained by seventh student = 164

Therefore, the answer is (d) 164.
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Most Upvoted Answer
The mean of the marks obtained by 7 students in a group is 226. If the...
Given:
Mean of marks obtained by 7 students = 226
Marks obtained by 6 students = 340, 180, 260, 56, 275, 307

To find:
Marks obtained by the seventh student

Solution:
Let the marks obtained by the seventh student be 'x'.
Total marks obtained by 7 students = Mean x Number of students
226 x 7 = 1582 (Total marks obtained by 7 students)

Total marks obtained by 6 students = Sum of marks obtained by 6 students
= 340 + 180 + 260 + 56 + 275 + 307
= 1418

Marks obtained by the seventh student = Total marks - Total marks obtained by 6 students
= 1582 - 1418
= 164

Therefore, the marks obtained by the seventh student are 164.

Answer: (d) 164
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Community Answer
The mean of the marks obtained by 7 students in a group is 226. If the...
Let the marks of the seventh student be x.

The mean of the marks obtained by 7 students is 226, so the total marks of the 7 students is 226 * 7 = 1582.

The sum of the marks obtained by the six students is 340 + 180 + 260 + 56 + 275 + 307 = 1418.

So, the marks obtained by the seventh student are 1582 - 1418 = 164.

Therefore, the answer is (d) 164.
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